The ONE-STEP experiment(1) describes an experimental procedure for det
ermining the hydraulic properties of a soil sample. It involves measur
ements of cumulative out flow with time from a soil core placed in a p
ressure cell. The water flow in this soil core satisfies the classical
Richards equation. The accuracy of numerical schemes for simulating t
his experiment strongly depends on experimental conditions. In case th
e pneumatic head applied to the pressure cell is high the solution is
characterized by a ''steep drying front.'' A small spatial discretizat
ion step size is then required to obtain accurate solutions. To improv
e the efficiency of the procedure for determining soil hydraulic prope
rties, we have studied the applicability of a simple variable step siz
e scheme.